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Search: id:A141343
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| A141343 |
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Riordan array (1,x/sqrt(2-sqrt(1+4x)). |
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+0
3
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| 1, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 8, 6, 1, 0, 2, 16, 18, 8, 1, 0, 12, 24, 44, 32, 10, 1, 0, -12, 48, 90, 96, 50, 12, 1, 0, 72, 48, 180, 240, 180, 72, 14, 1, 0, -190, 160, 308, 544, 530, 304, 98, 16, 1, 0, 700, -40, 600, 1120, 1372, 1032, 476, 128
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Factorises as (1,xc(-x))*(1,x(1+x)/(1-2x)) where c(x) is the g.f. of A000108.
Row sums are A141344.
Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, -1, -1, -1, -1, -1, -1, -1, ...] DELTA [1, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 15 2008]
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EXAMPLE
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Triangle begins
1,
0, 1,
0, 2, 1,
0, 2, 4, 1,
0, 4, 8, 6, 1,
0, 2, 16, 18, 8, 1,
0, 12, 24, 44, 32, 10, 1,
0, -12, 48, 90, 96, 50, 12, 1
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CROSSREFS
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Sequence in context: A115247 A122542 A098542 this_sequence A066709 A108354 A146162
Adjacent sequences: A141340 A141341 A141342 this_sequence A141344 A141345 A141346
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KEYWORD
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easy,sign,tabl,new
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jun 26 2008
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